Write the equation in standard form of the line that passes through the points (7,-3) (-3,1)

Question

 For Algebra 1b

Answer 1

m = (1 - (-3))/(-3 - 7) = 4/-10 = -2/5

 

Now, use either point.

 

y - 1 = (-2/5)(x - (-3))

y - 1 = (-2/5)x - 6/5

(2/5)x + y = -1/5

2x + 5y = -1

 

Let's check with the other point.

 

2(7) + 5(-3) = -1

14 - 15 = -1

-1 = -1

0 = 0

 

Check!